Please help thank u

Question

Find dx /dy implicit differentiation: y^2sinx+x^3cos y = sin x cos y

Answer 1

Taking implicit derivative with respect to x for both sides of the equation:

y²cos(x)+2ysin(x)dy/dx-y³sin(y)dy/dx+3x²cos(y)=-sin(x)sin(y)dy/dx+cos(x)cos(y)

Now, just solve for dy/dx